Repetitive Control includes an Internal Model with high gain and slow time response characteristics which make it prone to the windup effect. A solution to this problem is the inclusion of an Anti-Windup compensator. Although there exist many general Anti-Windup synthesis methods in literature, some problems can arise as a result of a straightforward application of them in Repetitive Control. This paper presents the analysis and adaptation of the Model Recovery Anti-Windup strategy in the Repetitive Control frame. Thus, an optimal LQ design is proposed that looks for a deadbeat recover behaviour after saturation and a global asymptotic stability for the closed loop system. Through simulation it is shown that the propounded scheme achieves better tracking performance than other similar LQ designs.